The difference between strength training for women and weight training for women is mostly semantics. Some people might even refer to it as “weight lifting for women.”. However, “strength training” may sound less intimidating to someone who has never lifted weights before, and it can be a relief to know that you can strength train (especially in the beginning) using just your body weight. 
I highly prefer dumbbells to exercise machines, for the reasons I've said before. In other words, if you sit down on a machine and press something up, you're really getting good at sitting on a machine and pressing something up. If you sit on a ball or stand in a squat position and press up a set of dumbbells, not only are you working your shoulders, you're working your core muscles, which are your abdominals and lower back, and you're challenging your balance and coordination. In real life, we need all of those things.

Complete the exercises in each workout as Straight Sets. For example, you'll do one set of leg presses, rest for 30 seconds, do a second set, rest, do the third set. Then, move on to the next exercise. You'll complete all movements in both workouts this way. Complete 12 reps of all movements for 3 sets each, and rest for 30 seconds in between each set. Choose a weight load where the last two reps of every set are extra hard, where you wouldn't be able to do a 13th rep. You may find that you increase the weight load for each set while keeping the 12 reps for all three sets.